Search a number
-
+
190390730320 = 245723137107897
BaseRepresentation
bin1011000101010000101…
…0111111111001010000
3200012102122202012121101
42301110022333321100
511104410011332240
6223244142034144
716520026335340
oct2612412777120
9605378665541
10190390730320
117382067070a
1230a95578954
1314c52578c9b
149301bccd20
154e44a4839a
hex2c542bfe50

190390730320 has 160 divisors (see below), whose sum is σ = 531748965888. Its totient is φ = 61982367744.

The previous prime is 190390730317. The next prime is 190390730333. The reversal of 190390730320 is 23037093091.

190390730320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 190390730320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1710612 + ... + 1818508.

Almost surely, 2190390730320 is an apocalyptic number.

190390730320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190390730320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265874482944).

190390730320 is an abundant number, since it is smaller than the sum of its proper divisors (341358235568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

190390730320 is a wasteful number, since it uses less digits than its factorization.

190390730320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108077 (or 108071 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 37.

The spelling of 190390730320 in words is "one hundred ninety billion, three hundred ninety million, seven hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 137 140 161 184 230 274 280 322 368 460 548 560 644 685 805 920 959 1096 1288 1370 1610 1840 1918 2192 2576 2740 3151 3220 3836 4795 5480 6302 6440 7672 9590 10960 12604 12880 15344 15755 19180 22057 25208 31510 38360 44114 50416 63020 76720 88228 107897 110285 126040 176456 215794 220570 252080 352912 431588 441140 539485 755279 863176 882280 1078970 1510558 1726352 1764560 2157940 2481631 3021116 3776395 4315880 4963262 6042232 7552790 8631760 9926524 12084464 12408155 14781889 15105580 17371417 19853048 24816310 29563778 30211160 34742834 39706096 49632620 59127556 60422320 69485668 73909445 86857085 99265240 103473223 118255112 138971336 147818890 173714170 198530480 206946446 236510224 277942672 295637780 339983447 347428340 413892892 517366115 591275560 679966894 694856680 827785784 1034732230 1182551120 1359933788 1389713360 1655571568 1699917235 2069464460 2379884129 2719867576 3399834470 4138928920 4759768258 5439735152 6799668940 8277857840 9519536516 11899420645 13599337880 19039073032 23798841290 27198675760 38078146064 47597682580 95195365160 190390730320